TY - JOUR
T1 - Some remarks on the hazard functions of the inverted distributions
AU - Sheikh, Anwar Khalil
AU - Ahmad, Munir
AU - Ali, Zulfiqar
PY - 1987
Y1 - 1987
N2 - The probability models of reciprocals of normal, Gamma and Weibull variates are called inverted normal, inverted Gamma and inverted Weibull distributions respectively. These distributions arise naturally in the study of certain stochastic processes causing wear-out failures of mechanical systems.1-4 In this paper characteristic features of the hazard functions based on this inverted class of distributions are discussed and their possible uses are explored. Hazard functions and mean residual life of inverted normal, inverted Gamma and inverted Weibull are compared with the normal, Gamma and Weibull hazards.
AB - The probability models of reciprocals of normal, Gamma and Weibull variates are called inverted normal, inverted Gamma and inverted Weibull distributions respectively. These distributions arise naturally in the study of certain stochastic processes causing wear-out failures of mechanical systems.1-4 In this paper characteristic features of the hazard functions based on this inverted class of distributions are discussed and their possible uses are explored. Hazard functions and mean residual life of inverted normal, inverted Gamma and inverted Weibull are compared with the normal, Gamma and Weibull hazards.
UR - https://www.scopus.com/pages/publications/0023580481
U2 - 10.1016/0143-8174(87)90057-6
DO - 10.1016/0143-8174(87)90057-6
M3 - Article
AN - SCOPUS:0023580481
SN - 0143-8174
VL - 19
SP - 255
EP - 261
JO - Reliability Engineering
JF - Reliability Engineering
IS - 4
ER -